Verified Solution • 2025–26 Session
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QJEEM21Ma71ee: JEE Main 2021 Mathematics - Class 11 JEEM21Ma71ee Solution: The students S 1 , S 2 , ....., S 10 are to be divided into 3…
The students S1, S2, ....., S10 are to be divided into 3 groups A, B and C such that each group has at least one student and the group C has at most 3 students. Then the total number of possibilities of forming such groups is ___________.
Step-by-Step Verified Solution
If group C has one student then number of groups
= 10C1 [29 – 2] = 5100
If group C has two students then number of groups
= 10C2 [28 – 2] = 11430
If group C has three students then number of groups
= 10C3 × [27 – 2] = 15120
So total groups = 31650
= 10C1 [29 – 2] = 5100
If group C has two students then number of groups
= 10C2 [28 – 2] = 11430
If group C has three students then number of groups
= 10C3 × [27 – 2] = 15120
So total groups = 31650